No idea myself :). But a quick search found this thread: http://www.remotecentral.com/cgi-bin/mboard/rc-discrete/thread.cgi?3474,3

Post 48 and 54 seem to have an answer for the 19" set, although they are different! Seems like many companies make TVs/DVD players for target which private brands them. So if the above does not work, you need to find out who made the TV and try their codes (the previous pages to above link name some).

Good luck.

amirm, Thanks for the link. I've been to that one already. I thought maybe they would have some generic code for oddballs like this TV.

Oh, sorry about that :). No, there is no generic code. The key is to find out who made the TV for Target. Can you look in the back for any markings of the manufacturer? Once you find that, then you can try out their codes.